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1382535 = 335721119
BaseRepresentation
bin101010001100010000111
32121020111000
411101202013
5323220120
645344343
714515500
oct5214207
92536430
101382535
118647a0
125680b3
1339538b
1427dba7
151c4990
hex151887

1382535 has 96 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 544320.

The previous prime is 1382533. The next prime is 1382543. The reversal of 1382535 is 5352831.

1382535 = 73 + 83 + ... + 483.

It is not a de Polignac number, because 1382535 - 21 = 1382533 is a prime.

It is a super-2 number, since 2×13825352 = 3822806052450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3600) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 1382499 and 1382508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382533) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72756 + ... + 72774.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

21382535 is an apocalyptic number.

1382535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1382535 is an abundant number, since it is smaller than the sum of its proper divisors (1900665).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1382535 is a wasteful number, since it uses less digits than its factorization.

1382535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1382535 is about 1175.8124850502. The cubic root of 1382535 is about 111.4017581299.

The spelling of 1382535 in words is "one million, three hundred eighty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 19 21 27 33 35 45 49 55 57 63 77 95 99 105 133 135 147 165 171 189 209 231 245 285 297 315 385 399 441 495 513 539 627 665 693 735 855 931 945 1045 1155 1197 1323 1463 1485 1617 1881 1995 2079 2205 2565 2695 2793 3135 3465 3591 4389 4655 4851 5643 5985 6615 7315 8085 8379 9405 10241 10395 13167 13965 14553 17955 21945 24255 25137 28215 30723 39501 41895 51205 65835 72765 92169 125685 153615 197505 276507 460845 1382535